Least Common Multiple of 510/975, 6170/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 510/975, 6170/110 quickly i.e. 62934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 510/975, 6170/110 is 62934.

LCM(510/975, 6170/110) = 62934

LCM of 510/975, 6170/110

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 510/975,6170/110

Given numbers are 510/975,6170/110

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 510,6170

Least Common Multiple of Numerators i.e. LCM of 510,6170 is 314670.

GCF of Denominators means GCF of 975,110 as per the given fractions.

GCF of 975,110 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 510,6170

LCM of Fractions 510/975,6170/110 is 62934

2 510, 6170
5 255, 3085
51, 617

∴ So the LCM of the given numbers is 2 x 5 x 51 x 617 = 314670

Least Common Multiple of 510,6170 with GCF Formula

Least Common Multiple of 510,6170 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 510,6170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,6170) = 10

common factors(in case of two or more numbers have common factors) = 1

GCF(510,6170) x common factors =10 x 1 = 10

LCM(510,6170) = ( 510 × 6170 ) / 10

LCM(510,6170) = 3146700 / 10

LCM(510,6170) = 314670


Lets's calculate GCF of 975,110

5 975, 110
195, 22

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 314670/5

Therefore the LCM of Fractions 510/975,6170/110 is 62934

Greatest Common Factor of 975,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,110 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 975,110 . The biggest common factor number is the GCF number.
So the greatest common factor 975,110 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 510/975, 6170/110

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 510/975, 6170/110?

Answer: LCM of Numerators as per given numbers 510/975, 6170/110 is

LCM of Numerators i.e. for 510,6170 is 314670

GCF of denominators i.e. for 975,110 is 5.

Thus, LCM of Fractions is 62934.Finally, LCM of Fractions for 510/975, 6170/110 is 62934.